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OEIS A000273: Unlabeled Simple Digraphs episode artwork

EPISODE · Jul 11, 2025 · 7 MIN

OEIS A000273: Unlabeled Simple Digraphs

from Intellectually Curious · host Mike Breault

We explore unlabeled simple directed graphs with n vertices: what "simple" means (no loops, no multiple arrows in the same direction) and what "unlabeled" means (counting up to isomorphism). We discuss why counting non-isomorphic digraphs is hard due to symmetries, and how Burnside's lemma and the Pólya enumeration theorem help. We'll also look at the computational toolbox (Maple, Mathematica, PARI, Python) used to compute terms for bigger n and touch on connections to graphical enumeration in combinatorics and to applications in genetics, information theory, and distributed computing.Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.Sponsored by Embersilk LLC

Episode metadata supplied by the publisher feed · Published Jul 11, 2025

What this episode covers

We explore unlabeled simple directed graphs with n vertices: what "simple" means (no loops, no multiple arrows in the same direction) and what "unlabeled" means (counting up to isomorphism). We discuss why counting non-isomorphic digraphs is hard due to symmetries, and how Burnside's lemma and the Pólya enumeration theorem help. We'll also look at the computational toolbox (Maple, Mathematica, PARI, Python) used to compute terms for bigger n and touch on connections to graphical enumeration i...

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OEIS A000273: Unlabeled Simple Digraphs

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This episode is 7 minutes long.

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This episode was published on July 11, 2025.

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We explore unlabeled simple directed graphs with n vertices: what "simple" means (no loops, no multiple arrows in the same direction) and what "unlabeled" means (counting up to isomorphism). We discuss why counting non-isomorphic digraphs is hard...

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